Title: Note on a Lagally formulation for the steady body force attendant to surface-singularity distributions
Abstract: In 1922, Lagally presented expressions for the overall loads in response to a steady flow of an inviscid incompressible fluid stream impinging on a shape created by isolated singularities embedded within the extended flow field interior to the body surface. The simple load expressions are a summation of terms containing the product of the local regular fluid speed (defined as the speed excluding contribution from the local singularity) and the singularity strength. In 1981, Guevel and Grekas extended the analysis to a similar case with singularities distributed on a closed surface. In 2006, Ledoux et al gave a straightforward derivation for a source surface distribution and argued that such an approach is 'less prone to numerical inaccuracies'. Herein the straightforward nonlinear formulation appropriate for surface singularities is expanded to include a surface distribution of vortices and/or doublets. Numerical results derived from both the Lagally integral for distributed singularities and the integration of the product of the inviscid pressure and unit normal are shown to have similar convergence tendencies toward exact inviscid results for the computed forces on a class of two-dimensional lifting foils.
Publication Year: 2010
Publication Date: 2010-04-20
Language: en
Type: article
Indexed In: ['crossref']
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